Upper-bound limit analysis based on the natural element method

Zhou, Shuqin; Liu, Yinghua

doi:10.1007/s10409-012-0149-9

Cited by 6 publications

(2 citation statements)

References 44 publications

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“…When the internal friction angle is nonuniformly distributed, the slip surface shape will also change according to associated flow rules, so the application of upper bound limit analysis is bound to be severely limited [24][25][26]. As mechanical parameters of soil mass change in coordination under the action of natural forces, a large number of scholars proposed that in order to reflect the distribution characteristics of soil mechanical parameters more realistic, we should explore upper bound limit analysis for the true state of soil by considering the characteristics of nonuniform multiparameter distribution [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Upper Bound Limit Stability Analysis for Soil Slope with Nonuniform Multiparameter Distribution Based on Discrete Algorithm

Wang

Yang

2020

Advances in Civil Engineering

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Slope stability analysis is a core issue in geotechnical engineering. This paper proposes a method of upper bound limit stability analysis for a slope with multiparameter coordinated variation based on the comprehensive consideration of the nonuniform distribution of slope soil parameters. This method starts from the perspective of energy balance, establishes a slope failure mechanism which meets velocity separation requirements, deduces its calculation formula for external force power and internal energy dissipation power, develops a cycle program for the most dangerous slip surface searching and stability coefficient calculation through computer programming technology, and finally forms a calculation method of upper bound limit stability analysis for the soil slope with nonuniform multiparameter distribution. At the same time, this method takes a dump slope in an open-pit mine as the engineering background, considers the nonuniformity of density, cohesion, and internal friction angle of the slope soil under subsidence, applies upper bound limit analysis to analyze the slope stability, and evaluates the accuracy of analysis results by using the residual thrust method. The results show that upper bound limit analysis has highly accuracy in stability coefficient calculation; compared with the residual thrust method, the stability coefficient calculation result by upper bound limit analysis is a strict upper bound solution, and the calculation error is easy to be estimated and eliminated. Simultaneously, the most dangerous slip surface obtained by upper bound limit analysis can fully satisfy the velocity separation requirement and has a greater engineering reference value.

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Section: Introductionmentioning

confidence: 99%

Upper Bound Limit Stability Analysis for Soil Slope with Nonuniform Multiparameter Distribution Based on Discrete Algorithm

Wang

Yang

2020

Advances in Civil Engineering

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“…These problems have been investigated numerically by finite elements [37,39], symmetric Galerkin boundary elements [38], and mesh-free methods [40,41]. Owing to the symmetry, only the top-right quarter of plates is modeled, as shown in Figure 6.…”

Section: Thin Square Plates With Cutouts Subjected To Tension Loadmentioning

confidence: 99%

Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design

Tran-Cong

2016

Engineering Analysis with Boundary Elements

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This paper presents displacement and equilibrium mesh-free formulation based on integrated radial basis functions (iRBF) for upper and lower bound yield design problems. In these approaches, displacement and stress fields are approximated by the integrated radial basis functions, and the equilibrium equations and boundary conditions are imposed directly at the collocation points. In the paper it has been shown that direct nodal integration of the iRBF approximation can prevent volumetric locking in the kinematic formulation, and instability problems can also be avoided. Moreover, with the use of the collocation method in the static problem, equilibrium equations and yield conditions only need to be enforced at the nodes, leading to the reduction in computational cost. The mean value of the approximated upper and lower bound is found to be in excellent agreement with the available analytical solution, and can be considered as the actual collapse load multiplier for most practical engineering problems, for which exact solution is unknown.

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Limit analysis of porous materials

Ruiz

Silveira

2022

Arch Appl Mech

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Upper-bound limit analysis based on the natural element method

Cited by 6 publications

References 44 publications

Upper Bound Limit Stability Analysis for Soil Slope with Nonuniform Multiparameter Distribution Based on Discrete Algorithm

Upper Bound Limit Stability Analysis for Soil Slope with Nonuniform Multiparameter Distribution Based on Discrete Algorithm

Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design

Limit analysis of porous materials

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